What is the Least Common Multiple of 27283 and 27290?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 27283 and 27290 is 744553070.
LCM(27283,27290) = 744553070
Least Common Multiple of 27283 and 27290 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27283 and 27290, than apply into the LCM equation.
GCF(27283,27290) = 1
LCM(27283,27290) = ( 27283 × 27290) / 1
LCM(27283,27290) = 744553070 / 1
LCM(27283,27290) = 744553070
Least Common Multiple (LCM) of 27283 and 27290 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27283 and 27290. First we will calculate the prime factors of 27283 and 27290.
Prime Factorization of 27283
Prime factors of 27283 are 27283. Prime factorization of 27283 in exponential form is:
27283 = 272831
Prime Factorization of 27290
Prime factors of 27290 are 2, 5, 2729. Prime factorization of 27290 in exponential form is:
27290 = 21 × 51 × 27291
Now multiplying the highest exponent prime factors to calculate the LCM of 27283 and 27290.
LCM(27283,27290) = 272831 × 21 × 51 × 27291
LCM(27283,27290) = 744553070
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